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Dimension of <xn,tn|xn-1,tn-1>

  1. Aug 11, 2012 #1
    HI! Everyone!I have a problem! I read sakurai's <modern quantum mechanics>.It reads the dimension of <xn,tn|xn-1,tn-1> is 1/length.I DON'T understand!would you like to give me some explanations? thank you!
     
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  3. Aug 11, 2012 #2

    Simon Bridge

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    What don't you understand - it's saying that if you did a dimensional analysis on that thing it would come up with 1/L

    Note - you can write in the subscripts in two ways:

    <xn,tn|xn-1,tn-1>

    or

    [itex]\langle x_n , t_n \mid x_{n-1}, t_{n-1} \rangle[/itex]

    the second one is best. (assuming you meant the subscripts...)
    hit the "quote" button at the bottom of this reply to see what I did.
     
  4. Aug 11, 2012 #3
    Thank you ,Simon.I don't understand why the dimension is 1/length.Could you please did a dimensional analysis for me?
     
  5. Aug 11, 2012 #4

    Simon Bridge

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    What does the state vector [itex]| x,t \rangle[/itex] represent?
     
  6. Aug 11, 2012 #5
    at time t,particle localize x! I think dimension is length.so I need help. Thank you!
     
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